in how many ways can one climb 8 steps of staircase if number of steps can be taken at a time
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13ways
Step-by-step explanation:
There are 8 ways to climb 5 steps by taking at most two at the time, namely 11111, 1112, 1121, 1211, 2111, 122, 212 and 221, where 1 represents the action of taking one step and 2 the one of taking two steps. Since 32 and 23 are also valid solutions, there are 13 ways in total of climbing the 5 stairs.
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